Atkin-Lehner |
2- 3- 7- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
126378bn |
Isogeny class |
Conductor |
126378 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-257612926943232 = -1 · 224 · 37 · 7 · 17 · 59 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8339,-823885] |
[a1,a2,a3,a4,a6] |
Generators |
[22521:634486:27] |
Generators of the group modulo torsion |
j |
-87960822051817/353378500608 |
j-invariant |
L |
14.502226200651 |
L(r)(E,1)/r! |
Ω |
0.22790093171071 |
Real period |
R |
5.3028254241379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999602319 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42126j1 |
Quadratic twists by: -3 |